desmond iking said:Homework Statement
A , B and C are from a class of 40 students. Three students are selected to be a monitor, assistant monitor and treasurer.
a) What's the probability of A to be monitor, B to be assistant monitor , C to be treasurer
my ans is (1/(40 x 39 x 38))=1/59280
b. What's the probablity of A , B and C are selected to hold three post?
can someone help me on part b plaese?
my working is 40C3=9880
but the ans is 1/9880
Homework Equations
The Attempt at a Solution
Ray Vickson said:Presumably you wrote down 40C3=9880 for some reason. What is that reason?
desmond iking said:choose 3 person form 40 person for the 3 posts
The probability of being selected for 3 different posts in a committee depends on the total number of members in the committee and the number of available posts. If the committee has a small number of members and a large number of available posts, the probability of being selected for 3 different posts is higher. However, if the committee has a large number of members and a small number of available posts, the probability of being selected for 3 different posts is lower.
The probability of holding 3 different posts in a committee is calculated by dividing the number of possible combinations of 3 different posts by the total number of possible combinations of posts in the committee. This can be represented as P(3 different posts) = Number of combinations of 3 different posts / Total number of combinations of posts in the committee.
The factors that affect the probability of holding 3 different posts in a committee include the total number of members in the committee, the number of available posts, and the selection process. Additionally, the skills, qualifications, and experience of the individual can also impact their chances of being selected for multiple posts in the committee.
It is generally more likely to hold 3 different posts in a smaller committee. This is because smaller committees typically have a smaller number of members and a larger number of available posts, increasing the chances of being selected for multiple posts. However, this also depends on the factors mentioned in the previous question.
Yes, the probability of holding 3 different posts in a committee can be increased by having the necessary skills and qualifications for the available posts, actively participating in the selection process, and networking with other members of the committee. It is also helpful to have a good understanding of the committee's goals and objectives, as this can make you a more desirable candidate for multiple posts.